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Finding the Fourth Proportional to 11,661.84, 16,093.31 and 6,356.93

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Solution

The fourth proportional to 11,661.84, 16,093.31 and 6,356.93 is: 8,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.84 : 16,093.31 = 6,356.93 : x
  2. Step 2: Convert to fraction form
    11,661.84/16,093.31 = 6,356.93/x
  3. Step 3: Cross multiply
    11,661.84x = 16,093.31 × 6,356.93
  4. Step 4: Simplify right side
    11,661.84x = 102,303,932.89
  5. Step 5: Solve for x
    x = 102,303,932.89/11,661.84
  6. Step 6: Final answer
    x = 8,772.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.